Extensions 1→N→G→Q→1 with N=Dic₃ and Q=S₃xC₆

Direct product G=NxQ with N=Dic₃ and Q=S₃xC₆

		d	ρ	Label	ID
S₃xC₆xDic₃		48		S3xC6xDic3	432,651

Semidirect products G=N:Q with N=Dic₃ and Q=S₃xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃:₁(S₃xC₆) = C₃xS₃xC₃:D₄	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Out Dic₃	24	4	Dic3:1(S3xC6)	432,658
Dic₃:₂(S₃xC₆) = C₃xDic₃:D₆	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Out Dic₃	24	4	Dic3:2(S3xC6)	432,659
Dic₃:₃(S₃xC₆) = C₃xS₃xD₁₂	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Out Dic₃	48	4	Dic3:3(S3xC6)	432,649
Dic₃:₄(S₃xC₆) = C₆xC₃:D₁₂	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Out Dic₃	48		Dic3:4(S3xC6)	432,656
Dic₃:₅(S₃xC₆) = S₃²xC₁₂	φ: trivial image	48	4	Dic3:5(S3xC6)	432,648
Dic₃:₆(S₃xC₆) = C₆xC₆.D₆	φ: trivial image	48		Dic3:6(S3xC6)	432,654

Non-split extensions G=N.Q with N=Dic₃ and Q=S₃xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(S₃xC₆) = C₃xD₁₂:S₃	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Out Dic₃	48	4	Dic3.1(S3xC6)	432,644
Dic₃.₂(S₃xC₆) = C₃xDic₃.D₆	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Out Dic₃	48	4	Dic3.2(S3xC6)	432,645
Dic₃.₃(S₃xC₆) = C₃xD₆.₃D₆	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Out Dic₃	24	4	Dic3.3(S3xC6)	432,652
Dic₃.₄(S₃xC₆) = C₃xD₆.₄D₆	φ: S₃xC₆/C₃xS₃ → C₂ ⊆ Out Dic₃	24	4	Dic3.4(S3xC6)	432,653
Dic₃.₅(S₃xC₆) = C₃xS₃xDic₆	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.5(S3xC6)	432,642
Dic₃.₆(S₃xC₆) = C₃xD₆.D₆	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Out Dic₃	48	4	Dic3.6(S3xC6)	432,646
Dic₃.₇(S₃xC₆) = C₆xC₃²:₂Q₈	φ: S₃xC₆/C₃xC₆ → C₂ ⊆ Out Dic₃	48		Dic3.7(S3xC6)	432,657
Dic₃.₈(S₃xC₆) = C₃xD₁₂:₅S₃	φ: trivial image	48	4	Dic3.8(S3xC6)	432,643
Dic₃.₉(S₃xC₆) = C₃xD₆.₆D₆	φ: trivial image	48	4	Dic3.9(S3xC6)	432,647

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